63153146240000 has 880 divisors, whose sum is σ = 165687640183296. Its totient is φ = 24031641600000.

The previous prime is 63153146239951. The next prime is 63153146240021. The reversal of 63153146240000 is 4264135136.

It is a super-2 number, since 2×63153146240000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233037439865 + ... + 233037440135.

Almost surely, 2^{63153146240000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63153146240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82843820091648).

63153146240000 is an abundant number, since it is smaller than the sum of its proper divisors (102534493943296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63153146240000 is a wasteful number, since it uses less digits than its factorization.

63153146240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 63153146240000 in words is "sixty-three trillion, one hundred fifty-three billion, one hundred forty-six million, two hundred forty thousand".